# Two-species competition model with chemotaxis: well-posedness, stability and dynamics

@inproceedings{Li2021TwospeciesCM, title={Two-species competition model with chemotaxis: well-posedness, stability and dynamics}, author={Guanlin Li and Yao Yao}, year={2021} }

We study a system of PDEs modeling the population dynamics of two competitive species whose spatial movements are governed by both diffusion and mutually repulsive chemotaxis effects. We prove that solutions to this system are globally well-posed, without any smallness assumptions on the chemotactic coefficients. Moreover, in the weak competition regime, we prove that neither species can be driven to extinction as the time goes to infinity, regardless of how strong the chemotaxis coefficients… Expand

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